Decode the received sequence of bits

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Reference no: EM131352881

While the variance of lengths is an important consideration when choosing between two Huffman codes that have the same average lengths, it is not the only consideration. Another consideration is the ability to recover from errors in the channel. In this problem we will explore the effect of error on two equivalent Huffman codes.

(a) For the source and Huffman, encode the sequence
a₂a₁ a₃ a₂ a₁ a₂

Suppose there was an error in the channel and the first bit was received as a 0 instead of a 1. Decode the received sequence of bits. How many characters are received in error before the first correctly decoded character?

(b) Repeat using the code in Table.

Minimum variance Huffman code

Letter	Probability	Codeword
a1	0.2	10
a2	0.4	00
a3	0.2	11
a4	0.1	010
a5	0.1	011

Reference no: EM131352881

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